# sampling

(redirected from Nyquist Theorem)
Also found in: Dictionary, Thesaurus, Medical, Encyclopedia.

## sampling

the selection of part of a total population of consumers or products whose behaviour or performance can be analysed, in order to make inferences about the behaviour or performance of the total population, without the difficulty and expense of undertaking a complete census of the whole population.

Samples may be chosen randomly, with every consumer or product in the population having an equal chance of being included. Random samples are most commonly used by firms in QUALITY CONTROL where they are used as a basis for selecting products, components or materials for quality testing.

Alternatively, samples may be chosen by dividing up the total population into a number of distinct sub-groups or strata, then selecting a proportionate number of consumers or products from each sub-group since this is quicker and cheaper than random sampling. In MARKETING RESEARCH and opinion polling, quota sampling is usually employed where interviewers select the particular consumers to be interviewed, choosing the numbers of these consumers in proportion to their occurrence in the total population.

Samples may be:

1. cross-sectional, where sample observations are collected at a particular point in time, for example data on company sales and the incomes of consumers in the current year, embracing a wide range of different income groups, as a basis for investigating the relationship between sales and income;
2. longitudinal, where sample observations are collected over a number of time periods, for example data on changes in company sales over a number of years and changes in consumer incomes over the same time periods, as a basis for investigating the relationship between sales and income. See STATISTICAL INFERENCES, QUESTIONNAIRE.
References in periodicals archive ?
Thereby, this method provides a new approach of receiving echo data via 2-D random sparse sampling with a significant reduction in the number of sampled data beyond the Nyquist theorem.
Interestingly, since undersampling violates the Nyquist theorem, you may wonder if something is lost in the signal information, and if so, what is it?
For example, if you are sampling at 20 kHz, the Nyquist Theorem dictates that only those signals varying at 10 kHz or less (one-half the sampling frequency) can be accurately sampled.

Site: Follow: Share:
Open / Close